$2.$ Binary Dependent Variables$($a$)$ Consider the linear probability model:attack $=-0\mathrm{.}091+0\mathrm{.}559$bp $+0\mathrm{.}177$ smokeHere, attack is a binary variable taking value $1$ if person gets a heart attack and $0$ otherwise. bp is blood pressure level and smoke is a binary variable taking value $1$ if person smokes and $0$ otherwise.Consider an individual who smokes and has a blood pressure level of $0\mathrm{.}275.$What inference can you draw about this person's chance of getting a heart attack? Consider another individual with same blood pressure but doesn't smoke. What is the difference in chances of getting a heart attack between these two individuals?$($b$)$ List the advantages and disadvantages of a linear probability model$($c$)$ What is a probit regression model? Define.$($d$)$ What is a logit regression model? Define.